{
  "abstract": "Gradient flow provides finite-flow-time QCD operators, whose matrix elements can be computed on the lattice and related to renormalized QCD operators through perturbative matching. We develop a matching framework that relates local flowed-QCD operators to the corresponding operators in heavy-quark effective theory (HQET) at leading power in the heavy-quark expansion. By combining the flowed-QCD-to-HQET matching relation with conventional QCD-to-HQET matching, we obtain a mass-dependent conversion relation between flowed-QCD operators and renormalized QCD operators. As a first application, we calculate the one-loop matching coefficients for heavy-light currents and derive the corresponding conversion coefficients. We find that heavy-quark mass effects in the matching and conversion coefficients can be numerically important when the flow scale is not much larger than the heavy-quark mass scale, highlighting the need for mass-dependent matching in precision lattice applications of gradient flow to heavy-quark observables.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15138",
  "author_total": 4,
  "authors": [
    {
      "name": "Yun-Han Gui"
    },
    {
      "name": "Xin-Qiang Li"
    },
    {
      "name": "Xiang-Peng Wang"
    },
    {
      "name": "Ya-Dong Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2ghnwtg5z178b.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15138",
  "fulltext_url": null,
  "id": "2ghnwtg5z178b",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.15138",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7213365144",
  "pdf_url": "https://arxiv.org/pdf/2609.15138",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2ghnwtg5z178b.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.15138",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15138"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Heavy-quark expansion at leading power for local QCD operators in gradient flow",
  "title_text": "Heavy-quark expansion at leading power for local QCD operators in gradient flow",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:25Z",
  "url": "https://research.draconitic.com/paper/2ghnwtg5z178b",
  "venue": "arXiv",
  "versions": []
}